3(2y-5)=6+2(y-3)

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Solution for 3(2y-5)=6+2(y-3) equation:


Simplifying
3(2y + -5) = 6 + 2(y + -3)

Reorder the terms:
3(-5 + 2y) = 6 + 2(y + -3)
(-5 * 3 + 2y * 3) = 6 + 2(y + -3)
(-15 + 6y) = 6 + 2(y + -3)

Reorder the terms:
-15 + 6y = 6 + 2(-3 + y)
-15 + 6y = 6 + (-3 * 2 + y * 2)
-15 + 6y = 6 + (-6 + 2y)

Combine like terms: 6 + -6 = 0
-15 + 6y = 0 + 2y
-15 + 6y = 2y

Solving
-15 + 6y = 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
-15 + 6y + -2y = 2y + -2y

Combine like terms: 6y + -2y = 4y
-15 + 4y = 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 4y = 0

Add '15' to each side of the equation.
-15 + 15 + 4y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 4y = 0 + 15
4y = 0 + 15

Combine like terms: 0 + 15 = 15
4y = 15

Divide each side by '4'.
y = 3.75

Simplifying
y = 3.75

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